Space plasma dynamics: Alfvén intermittent chaos |
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| Institution: | 1. lnstituto Tecnológico de Aeronáutica (ITA), Praça Marechal Eduardo Gomes, 50, São José dos Campos-SP 12228-900, Brazil;2. National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil;1. Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG), Universidade de São Paulo, Cidade Universitária, São Paulo - SP 05508-900, Brazil;2. Instituto Nacional de Pesquisas Espaciais (INPE) and World Institute for Space Environment Research (WISER), P. O. Box 515, São José dos Campos - SP 12227-010, Brazil;3. Instituto de Geofisica, Universidad Nacional Autónoma de México, 04510 México, D.F., México;4. CSPAR, University of Alabama in Huntsville, Huntsville, AL, 35899, USA;5. Emeritus, AFRL(VSBX), Hanscom AFB, Bedford, MA, 01731, USA |
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| Abstract: | The onset of Alfvén intermittent chaos in space plasmas is studied by numerically solving the derivative non-linear Schrödinger equation (DNLS) under the assumption of stationary Alfvén waves. We describe how the Alfvénic fluctuations of the magnetic field can evolve from periodic to chaotic behavior through a sequence of bifurcations as the dissipation is varied. The collision of a chaotic attractor with an unstable periodic orbit leads to the generation of strongly chaotic behavior, in an event known as interior crisis. We also show that in the DNLS equation, chaotic attractors coexist with non-attracting chaotic sets responsible for transient chaotic behavior. After the interior crisis point, a wide chaotic attractor can be decomposed into two coupled non-attracting chaotic sets, resulting in intermittent chaotic time series. |
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